# IV Bolus One Compartment Model

### Student Objectives for this Chapter

- To understand the assumptions associated with the one compartment model
- To understand the properties of first order kinetics and linear models
- To write the differential equations for a simple pharmacokinetic model
- To derive and use the integrated equations for a one compartment linear model
- To define, use, and calculate the parameters, kel (elimination rate constant), t
_{1/2} (half-life), Cl (clearance), V (apparent volume of distribution), and AUC (area under the concentration versus time curve) as they apply to a one compartment linear model

Definition: Pharmacokinetics is the study of drug and/or metabolite **kinetics** in the body. It deals with a mathematical description of the rates of drug movement into, within and exit from the body. It also includes the study of drug metabolism or biotransformation rates. The body is a very complex system and a drug undergoes many steps as it is being **absorbed**, **distributed** through the body, **metabolized** or **excreted** (**ADME**).

**Figure 5.1.1 Drug Disposition**

The drug also interacts with receptors and causes therapeutic and/or toxic responses. Although the details of drug kinetics are complicated it is fortunate that we can often approximate drug kinetic processes using "simple" mathematical models.

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Copyright 2001-3 David W. A. Bourne (david@boomer.org)

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Wednesday 26 May 2010 at 07:43 PM